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Finding the Fourth Proportional to 13,077.60, 19,616.40 and 9,751.20

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Solution

The fourth proportional to 13,077.60, 19,616.40 and 9,751.20 is: 14,626.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,077.60 : 19,616.40 = 9,751.20 : x
  2. Step 2: Convert to fraction form
    13,077.60/19,616.40 = 9,751.20/x
  3. Step 3: Cross multiply
    13,077.60x = 19,616.40 × 9,751.20
  4. Step 4: Simplify right side
    13,077.60x = 191,283,439.68
  5. Step 5: Solve for x
    x = 191,283,439.68/13,077.60
  6. Step 6: Final answer
    x = 14,626.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.